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Finding the Third Proportional to 661,932.38 and 1,022,853.38

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Solution

The third proportional to 661,932.38 and 1,022,853.38 is: 1,580,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,932.38 : 1,022,853.38 = 1,022,853.38 : x
  2. Step 2: Convert to fraction form
    661,932.38/1,022,853.38 = 1,022,853.38/x
  3. Step 3: Cross multiply
    661,932.38x = 1,022,853.38 × 1,022,853.38
  4. Step 4: Simplify right side
    661,932.38x = 1,046,229,026,748.89
  5. Step 5: Solve for x
    x = 1,046,229,026,748.89/661,932.38
  6. Step 6: Final answer
    x = 1,580,567.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.